Finding the Third Proportional to 46,720 and 109,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,720 : 109,682.50 = 109,682.50 : x
2. Step 2: Convert to fraction form
   46,720/109,682.50 = 109,682.50/x
3. Step 3: Cross multiply
   46,720x = 109,682.50 × 109,682.50
4. Step 4: Simplify right side
   46,720x = 12,030,250,806.25
5. Step 5: Solve for x
   x = 12,030,250,806.25/46,720
6. Step 6: Final answer
   x = 257,496.81